Percentage Increase Calculator
Find the new value after increasing a number by a percentage.
How Percentage Increase Works
Increasing a number by a percentage means adding a fraction of that number back onto itself. If you raise a $100 price by 20%, you're not just finding what 20% of 100 is — you're adding that amount to the original 100 to land on the new total of 120.
new value = original × (1 + percent ÷ 100)
This calculation shows up constantly in everyday life: a landlord raising rent by 5%, a salary bump of 3%, or a recipe scaled up by 50%. It's also the mirror image of a discount calculation, which instead subtracts a percentage from the original.
Example: a $45,000 salary increased by 8% becomes 45,000 × 1.08 = $48,600 — a raise of $3,600.
Frequently Asked Questions
How do you increase a number by a percentage?
Multiply the original number by 1 plus the percentage increase expressed as a decimal. For example, to increase 100 by 20%, calculate 100 × (1 + 0.20) = 120.
How do I find the percentage increase between two numbers?
Subtract the original number from the new number, divide by the original number, then multiply by 100. This tells you the percentage the value grew by — try the % Change calculator for this direction of the problem.
Can percentage increase be more than 100%?
Yes. A percentage increase over 100% means the value has more than doubled. For example, going from 50 to 150 is a 200% increase.